Fractions

Tutorial Videos

Equivalent Fractions – Primary

Corbett Maths Equivalent Fractions

Fractions of Shapes – Corbettmaths

Corbett Maths Fractions of Shapes

Simplifying Fractions

Simplifying Fractions by Maths in Fun

Simplifying Fractions – Primary

Corbett Maths Simplifying Fractions

Online Platforms (with Videos & Exercises)

• Khan Academy
  • Equivalent Fractions 1
  • Equivalent Fractions on the Number Line
  • Equivalent Fractions 2
  • Quiz 3

Activities & Resources

• acutelearning Problem Pairs PDF or PowerPoint
• Andy Lutwyche Celebrity Cracker Challenge
• Mrbartonmaths.com Simplifying Fractions Catchphrase
• Mr Barton Equivalent Fractions Snap (TES Account Required)
• Bossmaths N1c Equivalent Fractions and Simplifying Fractions (Part 1 & 2)
• The Chalk Face Ordering Fractions Excel file with Steps to Compare
• Desmos Equivalent Fractions Lesson by Kurt Salisbury
• Don Steward Fraction Shading✦
• Go Teach Maths
  • Simplifying Fractions Snap ppt/ Small PDF/ Standard PDF
  • Comparing Fractions Bingo
  • Comparing with Inequality Sign Shootout
  • Introduction to Fractions
  • Fractions as Words
  • Calculations Using Equivalent Fractions
• interactive-maths.com
  • Cancelling Fractions: Individual Questions · 10 Questions · Individual Questions with Countdown · Relay · Bingo
• Mark Horley Fractions True or False (Contains Some Basic Addition & Subtraction) Word Doc or PDF
• Mathopolis:
  • Simplifying Fractions 10 Online Questions
  • Equivalent Fractions 10 Online Questions
• Maths Pad
  • Equivalent Fractions Colouring✦
  • Match Three✦
• mathsko.com
  • Fraction Dinners and Instructions
  • Equivalent Fractions Multiple Comparisons
  • Fraction Inequalities
• Nrich
  • Card Sort
  • Squeezed in
• Pixi Maths
  • Ordering Fractions ppt
• Transum
  • Equivalent Fractions Level 1 2 3 4 5
  • Inequalities with Fractions Exercise
  • Equivalent Fractions Activities
  • Fickle Fractions
  • Puzzle
  • Overloaded Fractions (10 Levels)
  • Coins on a Table
  • Fractangle
  • Half Hearted
  • Inbetween
  • Fraction Wall
  • Ordering Pies
• twinkl.co.uk Card Sort
• Andy Lutwyche
  • Codebreaker
  • (Simplest Form) Codebreaker
  • (Shaded Shapes) Codebreaker
  • Who Won The Prize?
  • Cracker Challenge – Ordering
  • Larger or Smaller
  • Cut-and-Stick
• Math = Love (Sarah Carter)
  • Fraction strips printable
  • Fraction Dominoes puzzle
  • Fraction War card game
  • Chinese Equivalent Fractions task
  • Equivalent Fractions Card Sort
  • Fraction Capture Game
• Utah Education Network
  • Fraction Capture
• SKH CWSMS
  • Chinese Equivalent Fractions Task
• L.P. Mochalov
  • Fraction Dominoes
• Don Steward
  • Equivalent Fractions Shaded
  • Fraction Cancelling
  • Fraction Inbetweens
  • Fraction Wall
  • Pies
  • Cancelling Down
• PhET Interactive Simulations
  • PhET Fractions: Equality Interactive Simulation (embedded below)
• Goal Free Problems
  • Foundation Geometry & Measures set Q10
• thewessens.net Classroom Apps
  • Equivalent Fraction Explorer (regroup a shaded grid to find equivalent fractions)
• Open Middle
  • Fraction equivalence✦
• Neil Dickson (GeoGebra)
  • Equivalent fractions (GeoGebra)✦
• White Rose Maths
  • Fractions matching activity✦
• Mark Horley
  • True or false cards: fraction misconceptions✦
• Mr Thompson Maths
  • Ordering fractions – grid challenge✦
• SMILE
  • Fraction shading 1✦ · 2✦ · 3✦ (original by SMILE; copy hosted on Jo Morgan’s Drive)
• Ticktock Maths
  • Equivalent Fractions and Simplifying lesson (slides)
• NCETM
  • NCETM Key Idea: Understanding simplification of fractions (PowerPoint)

Worksheets

• Access Maths Simplifying Fractions GSM Worksheet
• Andy Lutwyche
  • Spot the Mistake Notes 1 Word Doc or PDF & Answers Word Doc or PDF
  • Equivalent Fractions Codebreaker Word Doc or PDF & Answers Word Doc or PDF
  • Who Won the Prize? Word Doc or PDF & Answers Word Doc or PDF
• Dr Austin Maths
  • Pixel Picture (Word | PDF | Answers)
  • Comparing Practice Strips (Word| PDF| Answers)
  • Ordering Practice Strips (Word | PDF | Answers)
• The Chalk Face Equivalent Fractions PRET Homework
• cimt.org
  • Year 7 Equivalent Fractions
  • Year 9 Equivalent Fractions
• classroomsecrets.co.uk Simplifying Fractions Questions
• Corbettmaths
  • Equivalent & Simplifying Fractions Practice Questions & Solutions
  • Equivalent Fractions Worksheet & Solutions
  • Simplifying Fractions Worksheet & Solutions
  • Ordering Fractions Practice Questions & Solutions
  • Ordering Fractions Worksheet & Solutions
  • Fractions of Shapes Worksheet & Solutions
• interactive-maths.com Cancelling Fractions Worksheet
• k5learning.com Worksheets
  • Simplifying Fractions 1, 2, 3, 4, 5, 6
  • Simplifying Fractions (incl. improper fractions) 1, 2, 3, 4, 5, 6
  • Equivalent Fractions 1, 2, 3, 4, 5, 6
  • Harder Equivalent Fractions 1, 2, 3, 4, 5, 6
• Maths 4 Everyone
  • Understanding Fractions KS2 SATS Questions and Solutions
  • Equivalent Fractions KS2 SATS Questions and Solutions
  • Ordering Fractions KS2 SATS Questions and Solutions
• Pixi Maths
  • Ordering Fractions RAG
• Self Marking Sheets by Phil Rhodes
  • Equivalent Fractions Excel File
  • Simplifying Fractions Excel File
• CIMT MEP (online self-checking)
  • Fractions
• Miss Konstantine (MathsHKO)
  • Comparing Fractions
  • Fractions Shaded
• Maths Genie
  • Writing, Simplifying and Ordering Fractions: Booklet · Worksheet · Solutions · Lesson · Topic page
• Access Maths
  • Fractions: Recognising Fractions (Fluency & Reasoning) | Simplifying (Fluency & Reasoning)
• 1st Class Maths
  • Ordering fractions exam style questions✦ (answers✦)
• @taylorda01
  • Fractions of shapes✦ (answers✦)
• Pret Homework (@MrDraperMaths)
  • Simplifying Fractions (@MrDraperMaths, docx)

Dr Frost Video

Equivalent Fractions

Whole Topic Video

Key Skill – Find what fraction of a shape is shaded.

K45: Find What Fraction of a Shape is Shaded.

Key Skill – Find Equivalent Fractions

K46: Find Equivalent Fractions.

Key Skill – Write a Fraction in its Simplest Form

K47: Write a Fraction in its Simplest Form.

Key Skill – Write a Proportion as a Fraction in its Simplest Form.

K48: Write a Proportion as a Fraction in its Simplest Form.

Key Skill – Compare Two Fractions

K49: Compare Two Fractions.

Dr Frost Slides & Activities

• Dr Frost Slides (1-4)

Exam Practice

• Exam Practice
• Exam Practice (Order Fractions, Possibly with Decimals)

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 54d: Identify fractions with denominators up to 12 of a shape or set of objects.
• 98a: Find an equivalent fraction through multiplication of the numerator and denominator.
• 98b: Find an equivalent fraction through division of the numerator and denominator.
• 98c: Determine if fractions are equivalent.
• 98d: Write a fraction in simplest form.
• 98e: Determine if a fraction is written in simplest form.
• 98g: Write a proportion expressed numerically as a fraction in its simplest form.
• 98h: Interpret values from a graph or table and give the result as a fraction in simplest form.
• 99a: Compare two fractions where denominators are multiples of each other using inequalities.
• 99b: Order fractions where denominators are multiples of each other.
• 116a: Compare two fractions with different denominators using inequalities.
• 116b: Order fractions where denominators are different.
• 54: Exam Practice: Recognising and using fractions with denominators to 12
• 98: Exam Practice: Fractional equivalence using factors and multiples
• 99: Exam Practice: Comparing and ordering fractions where the denominators are multiples of each other
• 116: Exam Practice: Comparing and ordering fractions with different denominators.

Further Practice

• Practise Questions
• Practise Questions (Order Fractions, Possibly with Decimals)

Worksheets & Activities

• Don Steward
  • Cancelling Fractions✦
  • Forwards and Back Fractions✦

• MissBrookesMaths Fractions inc algebra Equivalent, Simplifying

Tutorial Videos

How to convert mixed numbers to top heavy fractions

How to convert mixed numbers to top heavy fractions by maths520

Mixed Numbers – Primary

Corbett Maths Mixed Numbers (from 2:37)

Mixed numbers to improper – Corbettmaths

Corbett Maths Mixed Numbers to Improper

Online Platforms (with Videos & Exercises)

• Khan Academy
  • Mixed Numbers

Activities

• Access Maths Mixed Numbers & Improper Fractions Match Cards
• Acutelearning Problem Pairs PDF or PowerPoint
• Bossmaths N1c Equivalent Fractions and Simplifying Fractions (Part 3)
• The Chalk Face Ordering Fractions Excel file with Steps to Compare – see final tab
• Go Teach Maths
  • Spot the Mistake ppt/ Small PDF/ Standard PDF
  • Tarsia ppt/ Small PDF/ Standard PDF
  • Converting Between Mixed Numbers & Improper Fractions
• interactive-maths.com
  • Mixed Numbers and Improper Fractions: Individual Questions · 10 Questions · Individual Questions with Countdown · Relay · Bingo
• Mathopolis Improper Fractions 9 Questions
• Maths 4 Everyone
  • Improper Fractions Loop: Set 1 · Set 2
• Transum Improper Fractions Level 2
• Andy Lutwyche
  • Codebreaker
• Don Steward
  • Mixed Numbers
• PhET Interactive Simulations
  • PhET Fractions: Mixed Numbers Interactive Simulation (embedded below)
• Mr Thompson Maths
  • Converting between Mixed Numbers and Improper Fractions✦
• Ticktock Maths
  • Mixed Numbers and Improper Fractions lesson (slides)

Worksheets

• Access Maths Mixed Numbers & Improper Fractions GSM Worksheet
• Andy Lutwyche
  • Spot the Mistake Notes 2 Word Doc or PDF & Answers Word Doc or PDF
  • Mixed Numbers & Improper Fractions Codebreaker Word Doc or PDF & Answers Word Doc or PDF
• Dr Austin Maths
  • Converting Match-Up (Word | PDF | Answers)
  • Working with Mixed Numbers Practice Strips (Word | PDF | Answers) If covered four operations
• Chris McGrane Worksheet
• cimt.org Mixed Numbers and Improper Fractions
• Corbettmaths (Converting both Ways)
  • Primary Worksheet & Solutions
  • Top Heavy Fractions Mixed Numbers Practice Questions & Solutions
  • Improper Fractions & Mixed Numbers Worksheet & Solutions
• interactive-maths.com Mixed Numbers and Improper Fractions Worksheet
• k5learning.com
  • Standard Worksheet 1, 2, 3, 4, 5, 6
  • Harder Worksheet 1, 2, 3, 4, 5, 6
• Maths 4 Everyone
  • Improper Fractions from Mixed Numbers First Steps
  • Improper Fractions from Mixed Numbers Strengthen
• Pixi Maths Mixed to Improper Review
• Self Marking Sheets by Phil Rhodes
  • Mixed Numbers & Improper Fractions Excel File
• Miss Konstantine (MathsHKO)
  • Improper and Mixed Fractions
• Access Maths
  • Improper Fractions & Mixed Numbers Fluency & Reasoning Sheet
• Starting Points Maths
  • Improper Fractions
• Mr Morley Maths
  • Improper Fractions and Mixed Numbers: Notes jotter/worksheet · Exam questions · Mark scheme
• Pret Homework (@pippashley)
  • Improper Fractions (@pippashley, pptx)

Dr Frost Video

Converting between Mixed Numbers and Improper Fractions

Whole Topic Video

Key Skill – Write a Mixed Number as an Improper Fraction

K172: Write a Mixed Number as an Improper Fraction.

Dr Frost Slides & Activities

• Dr Frost Slides (11-12)

Exam Practice

• Exam Practice (both ways)

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 101b: Write a mixed number as an improper fraction.
• 101: Exam Practice: Converting between mixed numbers and improper fractions

Further Practice

• Practise Questions

Tutorial Videos

How to convert top heavy fractions to mxed numbers

How to convert top heavy fractions to mixed numbers by maths520

Mixed Numbers – Primary

Corbett Maths Mixed Numbers

Improper to mixed numbers – Corbettmaths

Corbett Maths Improper to Mixed Numbers

Online Platforms (with Videos & Exercises)

• Khan Academy
  • Mixed Numbers

Activities & Resources

• acutelearning Problem Pairs PDF or PowerPoint
• Access Maths Mixed Numbers & Improper Fractions Match Cards
• Bossmaths N1c Equivalent Fractions and Simplifying Fractions (Part 3)
• The Chalk Face Ordering Fractions Excel file with Steps to Compare – see final tab
• Go Teach Maths
  • Spot the Mistake ppt/ Small PDF/ Standard PDF
  • Tarsia ppt/ Small PDF/ Standard PDF
• interactive-maths.com
  • Mixed Numbers and Improper Fractions: Individual Questions · 10 Questions · Individual Questions with Countdown · Relay · Bingo
• Transum
  • Improper Fractions: Level 1 · Level 3

Worksheets

• Access Maths Mixed Numbers & Improper Fractions GSM Worksheet
• Andy Lutwych
  • Mixed Numbers & Improper Fractions Codebreaker Word Doc or PDF & Answers Word Doc or PDF
• cimt.org Mixed Numbers and Improper Fractions
• Corbettmaths (Converting both Ways)
  • Primary Worksheet & Solutions
  • Top Heavy Fractions Mixed Numbers Practice Questions & Solutions
  • Improper Fractions & Mixed Numbers Worksheet & Solutions
• interactive-maths.com Mixed Numbers and Improper Fractions Worksheet
• k5learning.com
  • Standard Worksheet 1, 2, 3, 4, 5, 6
  • Harder Worksheet 1, 2, 3, 4, 5, 6
• Maths4Everyone
  • Improper Fractions into Mixed Numbers First Steps
  • Improper Fractions into Mixed Numbers Strengthen
• Pixi Maths Improper to Mixed Review

Dr Frost Video

Converting between Mixed Numbers and Improper Fractions

Whole Topic Video (From 2:55)

Key Skill – Write an Improper Fraction as a Mixed Number.

K171: Write an Improper Fraction as a Mixed Number.

Dr Frost Slides & Activities

Dr Frost Slides (11-12)

Exam Practice

• Exam Practice (both ways)

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 101a: Write an improper fraction as a mixed number.
• 101: Exam Practice: Converting between mixed numbers and improper fractions

Further Practice

• Practise Questions

Other Videos & Multimedia

Reciprocals – Corbettmaths

Corbett Maths Reciprocals

Activities & Resources

• The Chalk Face Continued Fractions

Worksheets

• Corbettmaths
  • Reciprocals Practice Questions & Solutions
  • Reciprocals Worksheet & Solutions

Tutorial Videos

Fractions to Decimals – Corbettmaths

Fractions to Decimals by Corbett Maths

Math Antics – Convert any Fraction to a Decimal

Convert any Fraction to a Decimal by Math Antics (not a huge fan of this approach but may help those who are struggling to keep their working within the ‘bus stop’)

Activities & Resources

• Boss Maths N10a✦
• Desmos Lesson Fractions to Decimals
• Go Teach Maths
  • (With Calculator) Tarsia ppt/ Small PDF/ Standard PDF
  • ((With Calculator) Noughts & Crosses
  • Tarsia ppt/ Small PDF/ Standard PDF
  • FDP Connect 3
• Maths 4 Everyone
  • Fractions to Decimals Loop: Set 1 · Set 2
• MathsPad Fractions Decimals and Percentages Matching✦
• MisterMConnolly Whole One Search✦ (TES Account Required)
• Pixi Maths
  • Fractions, Decimals and Percentages ppt (Slide 6 Onwards)
  • Introduction to FDP Starter
  • Ordering ppt
• Transum
  • Fraction Decimal Pairs Activities
  • Loopy Lake
  • Fraction Order
  • Fraction Order (no. 2)
  • FDP Table
  • FDP Table Exercise 1, 2, 3
• interactive-maths.com Fraction-Decimal Conversion Drill
• Andy Lutwyche
  • Defuse The Bomb, Decimal, Percentages
  • Percentages Equivalence Codebreaker
  • Percentages
  • Percentages – Fill In Blanks
  • Fractions, Decimals & Percentages Colouring 1, 2
  • Clumsy Clive On Decimals, Percentages
  • Percentages Photography 2
• Math = Love (Sarah Carter)
  • Add Em Up activity
• Don Steward
  • Fractions to Terminating Decimals
  • Fractions to Recurring Decimals
  • Fractions to Decimals
• NCETM
  • NCETM Key Idea: Understanding fractions as divisions (PowerPoint)

Worksheets

• Andy Lutwyche
  • Diffuse the Bomb Converting FDP 1 Word Doc or PDF & Answers Word Doc or PDF
  • Diffuse the Bomb Converting FDP 2 Word Doc or PDF & Answers Word Doc or PDF
  • FDP Codebreaker Word Doc or PDF & Answers Word Doc or PDF
• Dr Austin Maths FDP Conversions Practice Strips (Word | PDF | Answers)
• The Chalk Face
  • FDP Conversions
  • FDP Conversion Test
• cimt.org
  • Year 7 Fractions into Decimals
  • Year 9 Fraction, Decimal and Percentage Equivalents
• Corbettmaths
  • Fractions to Decimals Practice Questions & Solutions
  • Fractions to Decimals Worksheet & Solutions
  • FDP Conversions Practice Questions & Solutions
  • FDP Key Equivalents Worksheet & Solutions
  • FDP Mixture Worksheet & Solutions
  • FDP Ordering Practice Questions & Solutions
• Go Teach Maths
  • Spot the Mistake ppt/ Small PDF/ Standard PDF
  • Digit Puzzle ppt/ A6 PDF/ A7 PDF
• k5learning.com Worksheets
  • Convert fractions to decimals 1, 2, 3, 4, 5, 6
  • Convert fractions to decimals (with repeating) 1, 2, 3, 4, 5, 6
• Kuta Software Fractions and Decimals
• Pixi Maths
  • Ordering RAG
• @taylorda01 Converting Fractions to Percentages and Decimals✦ (Answers✦)
• Self Marking Sheets by Phil Rhodes
  • FDP conversions (with thanks to Jake Hardy) Excel File
• Dr Austin Maths
  • Percentages Decode the Joke (Word | PDF | Answers)
  • Percentages Odd One Out (Word | PDF | Answers)
• Miss Konstantine (MathsHKO)
  • Halfway Between Fractions
• Maths Genie
  • Fractions, Decimals and Percentages: Booklet · Worksheet · Solutions · Lesson · Topic page
• Mr Morley Maths
  • Equivalent Fractions, Decimals and Percentages: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
• Pret Homework (@AccessMaths)
  • FDP (@AccessMaths, pdf)

Dr Frost Video

Adding and Subtracting Fractions

Whole Topic Video (All Conversions)

Key Skill – Convert a Fraction to a Non-Recurring Decimal.

K53: Convert a Fraction to a Non-Recurring Decimal.

Key Skill – Order a mixture of fractions, decimals and percentages.

K58: Order a Mixture of Fractions, Decimals and Percentages.

Dr Frost Slides & Activities

• Dr Frost Slides
• All in One FDP Correspondences Part 5 Simple Fractions to/ from Decimals

Exam Practice

• Exam Practice (All Conversions)

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 69c: Convert from fraction to decimal forms of tenths.
• 69d: Convert from fraction to decimal form for hundredths.
• 69e: Convert from fraction to decimal form for thousandths.
• 69f: Convert from a fraction to a decimal with 2 decimal places.
• 69g: Convert from a fraction to a decimal with 3 decimal places.
• 172a: Convert fractions with denominators that are factors of 100 to decimals.
• 172b: Convert fractions with denominators that are multiples of 100 to decimals.
• 172c: Convert fractions with denominators that are multiples or factors of 100 to decimals.
• 172e: Convert a fraction to a non-recurring decimal using division.
• 173a: Convert a fraction to a recurring decimal.
• 174d: Convert a mixed number or improper fraction to a non-recurring decimal using division.
• 175b: Compare a given fraction and decimal using inequalities.
• 175d: Order a mixture of fractions, decimals and percentages.
• 69: Exam Practice: Decimal place value, including basic fraction and decimal equivalence
• 172: Exam Practice: Converting between terminating decimals, fractions and percentages less than 100%
• 173: Exam Practice: Converting from a fraction to a recurring decimal or a percentage
• 174: Exam Practice: Converting between terminating decimals, fractions and percentages greater than 100%
• 175: Exam Practice: Comparing and ordering fractions, decimal and percentages

Further Practice

• Practise Questions (All Conversions)

Tutorial Videos

Fractions to percentages – Corbettmaths

Fractions to Percentages by Corbett Maths

Convert Fractions to Percentages

Convert Fractions to Percentages by tecmath

Activities & Resources

• Boss Maths R9a
• Don Steward Fractions to Percentages✦
• Go Teach Maths
  • Connect 3
  • (With Calculator) Tarsia ppt/ Small PDF/ Standard PDF
  • (With Calculator) Noughts & Crosses With Rounding
  • Shootout
  • FDP Connect 3
• MathsPad Fractions Decimals and Percentages Matching✦
• MisterMConnolly Whole One Search✦ (TES Account Required)
• Pixi Maths
  • Fractions, Decimals and Percentages ppt
  • Introduction to FDP Starter
  • Ordering ppt
• Transum
  • Fraction Percentage Pairs Activities
  • FDP Table
  • FDP Table Exercise 1, 2, 3
  • Fraction Percentage Matching
• Don Steward
  • Fractions as a Percentage
• Interactive Maths
  • Writing Numbers as a Percentage: QQI | 10QQI | Count Down | Relay | Bingo | Video
  • Writing Numbers as a Percentage: Worksheets
• Goal Free Problems
  • Higher Ratio & Proportion set Q4 (original questions)
• thewessens.net Classroom Apps
  • Patterns and Percentages (paint a grid, then give each colour as a fraction, decimal and percentage)

Worksheets

• Access Maths Converting Fractions To Percentages GSB Worksheet
• Andy Lutwyche
  • Diffuse the Bomb Converting FDP 1 Word Doc or PDF & Answers Word Doc or PDF
  • Diffuse the Bomb Converting FDP 2 Word Doc or PDF & Answers Word Doc or PDF
  • FDP Codebreaker Word Doc or PDF & Answers Word Doc or PDF
• Dr Austin Maths FDP Conversions Practice Strips (Word | PDF | Answers)
• The Chalk Face
  • FDP Conversions
  • FDP Conversion Test
• cimt.org Year 9 Fraction, Decimal and Percentage Equivalents
• Corbettmaths
  • Fractions to Percentages Practice Questions & Solutions
  • Fractions to Percentages Worksheet & Solutions
  • FDP Conversions Practice Questions & Solutions
  • FDP Key Equivalents Worksheet & Solutions
  • FDP Mixture Worksheet & Solutions
  • FDP Ordering Practice Questions & Solutions
• Go Teach Maths Digit Puzzle ppt/ Small PDF/ Standard PDF
• k5learning.com Worksheets
  • Denominators of 10 or 100 only
  • Mixed Numbers
  • Other Denominators
• Kuta Software Fractions, Decimals & Percentages
• Pixi Maths
  • Ordering RAG
• @taylorda01 Converting Fractions to Percentages and Decimals✦ (Answers✦)
• Self Marking Sheets by Phil Rhodes
  • Express one quantity as a % of another Excel File

Dr Frost Video

Fraction, Decimal & Percentage Correspondences

Whole Topic Video (All Conversions)

Key Skill – Convert a Fraction to a Percentage

K51: Convert a Fraction to a Percentage.

Key Skill – Order a mixture of fractions, decimals and percentages.

K58: Order a Mixture of Fractions, Decimals and Percentages.

Exam Practice

• Exam Practice (All Conversions)

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 105c: Convert from fractions with denominator of 100 to percentages.
• 172g: Convert fractions with denominators that are factors of 100 to percentages.
• 172h: Convert fractions with denominators that are multiples of 100 to percentages.
• 172i: Convert fractions with denominators that are multiples or factors of 100 to percentages.
• 172k: Convert a more complex fraction to a percentage via an equivalent decimal.
• 174e: Convert a mixed number or improper fraction to a percentage, by division to a decimal.
• 175c: Compare a given fraction and percentage using inequalities.
• 175d: Order a mixture of fractions, decimals and percentages.
• 105: Exam Practice: Understanding percentages as values out of 100
• 172: Exam Practice: Converting between terminating decimals, fractions and percentages less than 100%
• 174: Exam Practice: Converting between terminating decimals, fractions and percentages greater than 100%
• 175: Exam Practice: Comparing and ordering fractions, decimal and percentages

Further Practice

• Practise Questions (All Conversions)

Activities & Resources

• Dan Walker/ Median Don Steward Fractions to Percentages

Tutorial Videos

Adding and Subtracting Fractions

Adding and Subtracting Fractions by Maths Genie

Adding and subtracting fractions | Fractions | Pre-Algebra | Khan Academy

Adding and Subtracting Fractions by Khan Academy

Adding fractions with the same denominator – Corbettmaths

Corbett Maths Adding Fractions with the Same Denominator

Fractions Addition Subtraction – Corbettmaths

Corbett Maths Fractions Addition Subtraction

Online Platforms (with Videos & Exercises)

• Maths Made Easy
• Khan Academy
  • Adding & Subtracting Fractions

Activities & Resources

• Boss Maths N2f Part 1
• mrbartonmaths.com Catchphrase Activity
• Desmos Lessons
  • The Fraction Challenge by Elementary Grades
  • Polygraph Game by Introduction
• Go Teach Maths
  • Unit Fractions Addition Tarsia ppt/ Small PDF/ Standard PDF
  • Unit Fractions Addition Shoot Out
  • Unit Fractions Subtraction Spot the Mistake Tarsia ppt/ Small PDF/ Standard PDF
  • Unit Fractions Subtraction Shoot Out
  • Unit Fractions Adding & Subtracting Tarsia ppt/ Small PDF/ Standard PDF
  • Unit Fractions Adding & Subtracting Blockbuster
  • Adding Treasure Trail ppt or PDF
  • Subtracting Spot the Mistake ppt/ Small PDF/ Standard PDF
  • Subtracting Shootout
  • Adding & Subtracting Tarsia ppt/ Small PDF/ Standard PDF
  • Adding & Subtracting Blockbusters
  • Adding & Subtracting Fractions
• interactive-maths.com
  • Fractions Arithmetic: Individual Questions · 10 Questions · Individual Questions with Countdown · Relay · Bingo
• Math Pad Adding Fractions Puzzle✦
• Maths 4 Everyone
  • Unit Fractions Addition Loop 1 Set 1
  • Unit Fractions Addition Loop 2 Set 1
  • Unit Fractions Addition Loop 1 Set 2
  • Unit Fractions Addition Loop 2 Set 2
• Pixi Maths
  • Adding & Subtracting ppt
• @TickTockMaths Adding & Subtraction Fractions Lesson✦
• Transum
  • Fractions Online Quiz 1, 2, 3, 4, 5, 6
  • One Fifth
  • One Ninth
  • Squares Game
  • Circumfraction
  • Fractiononagons
  • Particular Pipes
• Andy Lutwyche
  • Codebreakers
  • Spot The Mistakes
  • Defuse The Bomb
  • Adding and Subtracting Fractions
  • Colouring
  • Spiders
  • From The Beginning
• Don Steward
  • Fraction Sum Close to a Half
  • A Twentieth
  • Sum to a Sixth
  • Fraction Generalising
  • Fraction Sequences
  • Half Is in the Middle
  • Fraction Addition, Denominators Multiples
  • Common Dechocolateater
  • Four Consecutive Numbers
  • Adding Fractions Procedure
  • Yohaku-Like Fraction Addition Puzzles
  • Subtracting Fractions
  • Fraction Squares
  • Fraction Triangles
  • Adding Fractions Using Rods
  • Denominator Thinking
  • Fraction Subtraction
  • Summing a Sequence of Fractions
  • Four Digits, Two Fractions
  • Seven 20ths
  • Fraction Addition Tasks
• thewessens.net Classroom Apps
  • Adding and Subtracting Fractions (Bar Models) (common denominators shown with bar models)
• Mr Thompson Maths
  • Adding Fractions – Finding Missing Numerators✦
• Dan Walker
  • Fraction sums collect a joke✦

Worksheets

• Access Maths Adding And Subtracting Fractions
• Andy Lutwyche
  • Adding & Subtracting by Colouring Word Doc or PDF & Answers Word Doc or PDF
  • Codebreaker 1 Word Doc or PDF & Answers Word Doc or PDF
  • Diffuse the Bomb 1 Word Doc or PDF & Answers Word Doc or PDF
  • Spot the Mistake Notes 3 Word Doc or PDF & Answers Word Doc or PDF
  • Adding & Subtracting Worksheet Word Doc or PDF & Answers Word Doc or PDF
  • Know it? Prove it! Word Doc or PDF & Answers Word Doc or PDF
  • Adding & Subtracting Spiders ppt or PDF
  • Crack the Safe Word Doc or PDF & Answers Word Doc or PDF
• Dr Austin Maths
  • Practice Strips (Word | PDF | Answers)
  • Fill in the Blanks (Word | PDF | Answers)
  • Worded Problems Practice Grid (Word | PDF | Answers)
• Corbettmaths
  • Same Denominators Practice Questions & Solutions
  • Same Denominators Worksheet & Solutions
  • Different Denominators Practice Questions & Solutions
  • Different Denominators Worksheet & Solutions
• Don Steward Fraction Magic Squares✦
• Go Teach Maths Adding Digit Puzzle ppt/ A6 PDF/ A7 PDF
• Maths 4 Everyone Worksheets (Adding Only)
  • Common Denominators First Steps
  • Common Denominators Strengthen
  • Common Denominators Extend
  • One Denominator is a Multiple of the Other First Steps
  • One Denominator is a Multiple of the Other Strengthen
  • One Denominator is a Multiple of the Other Extend
  • Denominators have a Common Factor First Steps
  • Denominators have a Common Factor Strengthen
  • Denominators have a Common Factor Extend
  • Adding any Fractions First Steps
  • Adding any Fractions Strengthen
  • Adding any Fractions Extend
• interactive-maths.com Worksheet
• k5learning.com Worksheets
  • Adding Like Fractions 1, 2, 3, 4, 5, 6
  • Adding Unlike Fractions 1, 2, 3, 4, 5, 6
  • Subtracting Like Fractions 1, 2, 3, 4, 5, 6
  • Subtracting Unlike Fractions 1, 2, 3, 4, 5, 6
  • Subtracting Unlike Fractions (Harder) 1, 2, 3, 4, 5, 6
  • Add & Subtract Fractions Word Problems 1, 2, 3, 4, 5, 6
• Pixi Maths
  • Adding & Subtracting RAG
  • Adding Subtracting Review
• Unknown Author Starter for Adding Fractions
• Self Marking Sheets by Phil Rhodes
  • Adding and Subtracting Fractions Excel File
• Miss Konstantine (MathsHKO)
  • Adding Fractions
• Access Maths
  • Adding & Subtracting Fractions Fluency & Reasoning Sheet
• MME
  • Adding & Subtracting Fractions (exam style): Questions | Answers
• Starting Points Maths
  • Fraction Addition · PDF
• Mr Morley Maths
  • Fractions – The 4 Operations: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme · Rehearsal strip · Answers
• Pret Homework (@AccessMaths)
  • Simplifying and Adding Fractions (@AccessMaths, pdf)
• Pret Homework (@MissBsResources)
  • Adding Fractions (@MissBsResources, pdf)

Dr Frost Video

Adding and Subtracting Fractions

Whole Topic Video

Key Skill – Add or subtract fractions with the same denominator.

K169: Add or Subtract Fractions With the Same Denominator.

Key Skill – Add or subtract fractions with different denominators.

K170: Add or Subtract Fractions With Different Denominators.

Key Skill – Add or subtract fractions with different denominators where one fraction needs changing.

K705: Add or Subtract Fractions With Different Denominators Where One Fraction Needs Changing.

Download Slides

• Dr Frost Slides (5-10)

Exam Practice

• Exam Practice

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 56a: Add proper fractions with the same denominator, within a whole.
• 56b: Add proper fractions with the same denominator, with total greater than a whole, expressing the answer as an improper fraction.
• 56c: Add improper fractions with the same denominator, with total greater than a whole, expressing the answer as an improper fraction.
• 56d: Subtract proper fractions with the same denominator, within a whole.
• 56e: Subtract from improper fractions with the same denominator, expressing the answer as an improper fraction.
• 56f: Subtract proper fractions from one.
• 100a: Add fractions with different denominators where one fraction needs changing.
• 100b: Subtract fractions with different denominators where one fraction needs changing.
• 117a: Add fractions with different denominators, expressing the answer as a proper or improper fraction.
• 117b: Subtract fractions with different denominators, expressing the answer as a proper or improper fraction.
• 117c: Determine the remaining fraction given other proportions of the whole.
• 56: Exam Practice: Adding and subtracting fractions with the same denominator
• 100: Exam Practice: Adding and subtracting fractions where the denominators are multiples of each other
• 117: Exam Practice: Adding and subtracting fractions with any denominator

Further Practice

• Practise Questions

Activities & Resources

• MissBrookesMaths Fractions inc algebra – Add and Subtract
• Nrich Adding Tricky Fractions

Tutorial Videos

How to Add or Subtract Mixed Numbers

How to Add or Subtract Mixed Numbers by mahalodotcom

Adding and Subtracting Mixed Numbers

Adding and Subtracting Mixed numbers by tecmath

Online Platforms (with Videos & Exercises)

• Khan Academy
  • Adding & Subtracting Fractions

Activities & Resources

• Go Teach Maths
  • Adding Shootout
  • Subtracting Tarsia ppt/ Small PDF/ Standard PDF
  • Adding & Subtracting Spot the Mistake ppt/ Small PDF/ Standard PDF
• interactive-maths.com
  • Fractions Arithmetic: Individual Questions · 10 Questions · Individual Questions with Countdown · Relay · Bingo
• Transum
  • Mixed Numbers Quiz 1, 2

Worksheets

• Andy Lutwyche
  • Codebreaker 2 Word Doc or PDF & Answers Word Doc or PDF
  • Diffuse the Bomb 2 Word Doc or PDF & Answers Word Doc or PDF
  • Adding & Subtracting Spiders ppt or PDF
  • Show That Word Doc or PDF & Answers Word Doc or PDF
• Dr Austin Maths
  • Practice Strips (Word | PDF | Answers)
  • Fill in the Blanks (Word | PDF✦ | Answers✦)
  • Crack the Code (Word | PDF | Answers)
• Don Steward Fraction Triangles
• Maths 4 Everyone (Adding Only)
  • Adding Mixed Numbers First Steps
  • Adding Mixed Numbers Strengthen
• Nrich Tricky Fractions
• Kuta Software Worksheet
• k5learning.com Worksheets
  • Adding mixed numbers with like denominators 1, 2, 3, 4, 5, 6
  • Adding mixed numbers (unlike denominators) 1, 2, 3, 4, 5, 6
  • Subtracting mixed numbers with like denominators 1, 2, 3, 4, 5, 6
  • Subtracting mixed numbers with unlike denominators 1, 2, 3, 4, 5, 6
  • Mixed numbers word problems 1, 2, 3, 4, 5, 6
• interactive-maths.com Worksheet
• @taylorda01 Adding and subtracting fractions✦ (answers✦)
• Pret Homework (Rachel Mahoney)
  • Adding Mixed Numbers (Rachel Mahoney, pptx)

Dr Frost Video

Adding and Subtracting Fractions

Whole Topic Video (From 6:37)

Key Skill – Add and subtract mixed numbers.

K178: Add and Subtract Mixed Numbers.

Download Slides

• Dr Frost Slides (13-15)

Exam Practice

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 102b: Add mixed numbers with the same denominators, where no regrouping is required, expressing the answer as a mixed number.
• 102c: Add mixed numbers with the same denominators, where regrouping is required, expressing the answer as a mixed number.
• 102f: Subtract mixed numbers with the same denominators, where no exchange is required, expressing the answer as a mixed number.
• 102g: Subtract mixed numbers with the same denominators, where an exchange is required, expressing the answer as a mixed number.
• 118a: Add proper or improper fractions with different denominators, with total greater than a whole, expressing the answer as a mixed number.
• 118b: Add mixed numbers with different denominators, where no regrouping is required, expressing the answer as a mixed number.
• 118c: Add mixed numbers with different denominators, where regrouping is required, expressing the answer as a mixed number.
• 118d: Subtract improper fractions with different denominators, expressing the answer as a mixed number.
• 118e: Subtract mixed numbers with different denominators, where no exchange is required, expressing the answer as a mixed number.
• 118f: Subtract mixed numbers with different denominators, where an exchange is required, expressing the answer as a mixed number.
• 102: Exam Practice: Adding and subtracting mixed numbers with the same denominator
• 118: Exam Practice: Adding and subtracting mixed numbers with different denominators

Further Practice

• Practise Questions

Tutorial Videos

Multiplying Fractions – Corbettmaths

Corbett Maths Multiplying Fractions

Multiplying Fractions

Multiplying Fractions by Maths Genie

Multiplying Fractions – The Easy Way!

Multiplying Fractions – The Easy Way by The Organic Chemistry Tutor – Including Cancelling

Online Platforms (with Videos & Exercises)

• Khan Academy
  • Multiplying Fractions

Activities & Resources

• Boss Maths N2f Part 2
• Go Teach Maths
  • Unit Fractions Four in a Row ppt/ A4 PDF/ A5 PDF/ A6 PDF
  • Unit Fractions Car Race
• Maths HKO Multiplying Match up
• mrbartonmaths.com Catchphrase Activity
• interactive-maths.com
  • Fractions Arithmetic: Individual Questions · 10 Questions · Individual Questions with Countdown · Relay · Bingo
• Pixi Maths
  • Multiplying & Dividing ppt
• Transum
  • Fractions Quiz 7
  • Fractions by Wholes Quiz 1
• Andy Lutwyche
  • Dividing Codebreakers
  • Dividing Spiders
  • Feeding Animal
• Don Steward
  • Fraction Product Sequence
  • Sum One
  • Fraction Reduction
  • Fraction Multiplication Pictures
  • Fraction Multiplication (2)
  • Fraction Multiplication (1)
• Ticktock Maths
  • Multiplying Fractions lesson (slides)
• NCETM
  • NCETM Key Idea: The mathematical structure of multiplying fractions (PowerPoint) · Understanding how to multiply fractions

Worksheets

• Access Maths Multiplying Fractions Worksheet
• Andy Lutwych
  • Spot the Mistake Notes 3 Word Doc or PDF & Answers Word Doc or PDF
• Dr Austin Maths Decode the Joke (Word | PDF | Answers)
• The Chalk Face Multiplying Fractions PRET
• Corbettmaths
  • Multiplying Fractions Worksheet & Solutions
• Desmos Lesson Y7 Fraction Cancelling by Deb Friis
• Don Steward Median Cross Cancelling Questions
• Go Teach Maths Digit Puzzle ppt/ A6 PDF/ A7 PDF
• interactive-maths.com worksheet
• k5learning.com Worksheets
  • Multiplying Fractions 1, 2, 3, 4, 5, 6
  • Multiplying Fractions (Harder) 1, 2, 3, 4, 5, 6
  • Multiplying fractions with missing factors 1, 2, 3, 4, 5, 6
  • Multiplying improper fractions 1, 2, 3, 4, 5, 6
• Pixi Maths
  • Multiplying Review
• @taylorda01 Multiplying fractions✦ (Answers✦)
• Self Marking Sheets by Phil Rhodes
  • Multiplying Fractions Excel File
• Dr Austin Maths
  • Decode the Joke (Word | PDF | Answers)
• Miss Konstantine (MathsHKO)
  • Multiplying Fractions
• Starting Points Maths
  • Fraction of a Fraction (by Segar Rogers) · PDF
• Pret Homework (@the_chalkface)
  • Multiplying Fractions (@the_chalkface, pdf)

Dr Frost Video

Multiplying Fractions

Whole Topic Video

Key Skill – Multiply fractions.

K173: Multiply Fractions.

Key Skill – Multiply a fraction by an integer.

K174: Multiply a Fraction by an Integer.

Download Slides

• Dr Frost Slides (16-19)

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 119a: Multiply a fraction by an integer.
• 120a: Multiply a fraction by a fraction with no simplification required.
• 120b: Square a fraction.
• 165a: Multiply a fraction by a fraction, requiring simplification.
• 165b: Square and square root fractions.
• 119: Exam Practice: Multiplying fractions and mixed numbers by an integer
• 120: Exam Practice: Multiplying proper fractions with no simplifying
• 165: Exam Practice: Multiplying proper fractions requiring simplification

Further Practice

• Practise Questions

Tutorial Videos

Fractions of Amounts – Corbettmaths

Corbett Maths Fractions of Amounts

Fractions finding the original – Corbettmaths

Corbett Maths Fractions Finding the Original

Increasing Decreasing by a Fraction – Corbettmaths

Corbett Maths Increasing Decreasing by a Fraction

Expressing one quantity as a fraction of another

Corbett Maths Expressing One Quantity as a Fraction of Another

Finding a Fraction of a Number

Finding a Fraction of a Number by Northstar15 Math (this is how I do it – includes thinking as a multiplication and cancelling)

Maths Tutorials – Finding Fractions of Amounts

Finding Fractions of Amounts by Miss Norledge Maths

Finding a Fraction of an Amount

Finding a Fraction of an Amount by Maths Genie

Online Platforms (with Videos & Exercises)

• Khan Academy
  • Multiplying fractions by whole numbers: Videos & practice

Activities & Resources

• Go Teach Maths
  • Unit Fractions of Quantities Snap ppt/ Small PDF/ Standard PDF
  • Unit Fractions of Quantities Shootout
  • Non-Unit Fractions of Quantities Versus ppt/ Small PDF/ Standard PDF
  • Reverse Fractions of Quantities Relay Race ppt/ Small PDF/ Standard PDF
  • Reverse Fractions of Quantities Bingo
  • Increase and Decrease by Fractions of Quantities Tarsia ppt/ Small PDF/ Standard PDF
  • Fractions, Percentages & Ratios of Amounts with Calculator Bingo
  • Fractions, Percentages & Ratios of Amounts without Calculators Tarsia ppt/ Small PDF/ Standard PDF
  • Fractions, Percentages & Ratios of Amounts without Calculators Noughts & Crosses
• mrbartonmaths.com
  • Catchphrase Activity: Fractions Only · Mixed FDP
• The Chalk Face
  • Question Generator
  • Fractions of Amounts Dice Bingo
• interactive-maths.com
  • Fractions of Amounts: Individual Questions · 10 Questions · Individual Questions with Countdown · Relay · Bingo
• Nrich
  • Fractions of 1000
  • Breakfast Time
  • Washing Up
  • Peanut Harvest
  • Three Blind Mice
  • Tommy’s Tankard
  • Peaches Today, Peaches Tomorrow…
• Maths 4 Everyone
  • Fractions of an Amount Loop 1 Set 1
  • Fractions of an Amount Loop 2 Set 1
  • Fractions of an Amount Loop 1 Set 2
  • Fractions of an Amount Loop 2 Set 2
• Pixi Maths
  • Fractions of Amounts ppt
• Transum Fraction of an Amount Quiz 1, 2, 3, 4
• Andy Lutwyche
  • A Number Codebreaker
  • A Number Match Up
  • Super Hero Fraction of a Number (TES, free login)
• Don Steward
  • From One Fraction to Another
  • Cuisenaire Rods and Fractions
• The Chalkface
  • Fractions of Amounts Dice Bingo: Excel (if macros are blocked: right-click the file › Properties › tick Unblock)
• Goal Free Problems
  • Foundation Number set Q7, Q16, Q17 (original questions)
• thewessens.net Classroom Apps
  • Multiplying Fractions (Bar Models) (fractions of amounts and fraction multiplication with bar models)
• Ticktock Maths
  • Fractions of Amounts lesson (slides)

Worksheets

• Andy Lutwyche
  • Spot the Mistake Notes 2 Word Doc or PDF & Answers Word Doc or PDF
  • Diffuse the Bomb 1 Word Doc or PDF & Answers Word Doc or PDF
  • Diffuse the Bomb 2 Word Doc or PDF & Answers Word Doc or PDF
  • Codebreaker Word Doc or PDF & Answers Word Doc or PDF
  • Super Hero Mid-Season Sale ppt, Word Doc or PDF & Answers Word Doc or PDF
  • Crack the Safe Word Doc or PDF & Answers Word Doc or PDF
• Dr Austin Maths
  • Practice Strips (Word | PDF | Answers)
  • Decode the Joke (Word | PDF | Answers)
• cimt.org
  • Year 7 Fractions of Quantities
  • Year 9 Fractions of Quantities
• Corbettmaths
  • Fraction of an Amount Practice Questions & Solutions
  • Fraction of an Amount Worksheet & Solutions
  • Finding the Original Quantity Practice Questions & Solutions
  • Finding the Original Quantity Worksheet & Solutions
  • Increasing or Decreasing Practice Questions & Solutions
  • Increasing or Decreasing Worksheet & Solutions
  • Expressing as a Fraction Worksheet & Solutions
• Desmos Lesson Y7 Fractions of Amounts by A Knights
• interactive-maths.com Worksheet
• Maths 4 Everyone
  • Fraction of an Amount Codebreaker 1 · 2
• Maths Genie Fractions of an Amount
• Pixi Maths
  • Fractions of Amounts RAG
• @taylorda01 Fractions of Amounts✦ (Answers✦)
• Self Marking Sheets by Phil Rhodes
  • Fractions of a Quantity Excel File
  • Fractions of Amounts (with thanks to Damien Watson) Excel File
• Miss Konstantine (MathsHKO)
  • Fractions of Amounts
• Maths Genie
  • Fractions of an Amount: Booklet · Worksheet · Solutions · Lesson · Topic page
• Physics & Maths Tutor
  • Fractional and Percentage Operators: Notes · Worksheet · Solutions
• Access Maths
  • Fractions of an Amount Fluency & Reasoning Sheet
• MME
  • Fractions of Amounts & Percentages (drill): Questions | Answers
• Starting Points Maths
  • Fractions of Amounts Using Bar Models · PDF

Dr Frost Video

Fractions of Amounts

Whole Topic Video

Key Skill – Find a fraction of an amount.

K183: Find a Fraction of an Amount.

Reverse Fractions of Amounts

Reverse Fractions Whole Topic Video

Key Skill – Find an amount before a fraction of it was taken.

K184: Find an Amount Before a Fraction of it was Taken.

Download Slides

• Dr Frost Slides (27-29)

Exam Practice

• Exam Practice
• Exam Practice (Reverse Fractions)

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 57d: Calculate a unit fraction of a given quantity (with denominator up to 12).
• 57e: Calculate a non-unit fraction of a given quantity (with denominator up to 12).
• 169a: Determine an amount after a fractional increase.
• 169b: Determine an amount after a fractional decrease.
• 170a: Determine the full amount given a unit fraction of the amount.
• 170b: Determine the full amount given a non-unit fraction of the amount.
• 170c: Determine the full amount given a non-unit fraction of the amount in context.
• 170d: Determine a fraction of an amount given another fraction of that amount.
• 170e: Determine the original amount after a fractional increase or decrease.
• 170f: Determine a total amount when the amount of a remaining quantity is provided.
• 170h: Determine the original amount where the difference between two fractions of an amount is given.
• 57: Exam Practice: Fractions of an amount
• 169: Exam Practice: Fractional increase and decrease
• 170: Exam Practice: Fractional original value problems

Further Practice

• Practise Questions
• Practise Questions (Reverse Fractions)

Activities & Resources

• Don Steward Activities✦

Tutorial Videos

Division involving Fractions – Corbettmaths

Corbett Maths Division Involving Fractions

Dividing Fractions

Dividing Fractions by Maths Genie

Dividing Fractions

Dividing Fractions by The Organic Chemistry Tutor (includes cancelling)

Online Platforms (with Videos & Exercises)

• Maths Genie
• Khan Academy
  • Dividing Fractions by Fractions

Activities & Resources

• Boss Maths N2f Part 3
• Go Teach Maths
  • Unit Fractions Dividing Shoot Out
  • Unit Fractions Multiplying & Dividing Tarsia ppt/ Small PDF/ Standard PDF
  • Unit Fractions Multiplying & Dividing Tarsia Penalty Shootout
  • Dividing Tarsia ppt/ Small PDF/ Standard PDF
  • Dividing Shootout
  • Multiplying & Dividing 3 Stars
  • Multiplying & Dividing with Cancelling ppt/ Small PDF/ Standard PDF
  • Reciprocals
• interactive-maths.com
  • Fractions Arithmetic: Individual Questions · 10 Questions · Individual Questions with Countdown · Relay · Bingo
• Desmos Lesson Y7 Dividing Fractions by Jeffrey Stephanoff
• Pixi Maths
  • Multiplying & Dividing ppt
• Transum
  • Fractions Quiz 8
  • Fractions by Wholes Quiz 2
• Miss Konstantine (MathsHKO)
  • Reciprocals
• Don Steward
  • Dividing a Fraction by a Whole Number
  • Fraction Division (Gattegno)✦
  • Dividing Fraction Views
  • Fraction Division Simplification
• thewessens.net Classroom Apps
  • Dividing Fractions (Bar Models) (see what dividing by a fraction means)
• Ticktock Maths
  • Dividing Fractions lesson (slides)

Worksheets

• Access Maths
  • Dividing Fractions Worksheet
  • Dividing Fractions GSB Class Worksheets
• Andy Lutwyche
  • Spot the Mistake Notes 3 Word Doc or PDF & Answers Word Doc or PDF
  • Multiplying & Dividing Codebreaker Word Doc or PDF & Answers Word Doc or PDF
  • Fractions Spiders ppt or PDF
  • Crack the Safe Word Doc or PDF & Answers Word Doc or PDF
• Dr Austin Maths
  • Fill in the Blanks (Word | PDF✦ | Answers✦)
  • Multiplying Practice Strips (Word | PDF | Answers)
  • Multiplying Odd One Out (Word | PDF | Answers)
• Corbettmaths
  • Multiplying & Dividing Fractions Practice Questions & Solutions
  • Dividing Fractions Worksheet & Solutions
• Go Teach Maths Multiplying & Dividing Digit Puzzle ppt/ A6 PDF/ A7 PDF
• interactive-maths.com Worksheet
• k5learning.com Worksheets
  • Dividing whole numbers by proper fractions 1, 2, 3, 4, 5, 6
  • Dividing proper fractions by whole numbers 1, 2, 3, 4, 5, 6
  • Dividing fractions by fractions 1, 2, 3, 4, 5, 6
• Pixi Maths
  • Review Dividing
• @taylorda01 Dividing fractions✦ (Answers✦)
• Self Marking Sheets by Phil Rhodes
  • Dividing Fractions Excel File
• Starting Points Maths
  • Fraction Division · PDF
• Pret Homework (Rachel Mahoney)
  • Multiplying and Dividing Fractions (Rachel Mahoney, pptx)

Dr Frost Video

Dividing Fractions

Whole Topic Video

Key Skill – Divide fractions.

K175: Divide Fractions.

Key Skill – Divide a fraction by an integer.

K176: Divide a Fraction by an Integer.

Download Slides

• Dr Frost Slides (22-26)

Exam Practice

• Exam Practice

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 121a: Divide a fraction by an integer.
• 159a: Understand reciprocals as multiplicative inverses.
• 159b: Calculate the reciprocal of an integer.
• 159c: Calculate the reciprocal of a unit fraction.
• 159d: Calculate the reciprocal of a general fraction.
• 166a: Divide a fraction by a fraction, where no simplification is required.
• 166b: Divide a fraction by a fraction, requiring simplification.
• 166c: Divide an integer by a fraction.
• 166d: Calculate values involving a mixture of arithmetic operations on fractional values.
• 166e: Simplify complex fractions where the numerator and denominator are both fractions.
• 166f: Simplify complex fractions where the numerator or denominator has an addition or subtraction of fractions.
• 166g: Simplify complex fractions where the numerator has a multiplication of fractions.
• 121: Exam Practice: Dividing fractions by integers
• 159: Exam Practice: Reciprocals
• 166: Exam Practice: Dividing proper fractions

Further Practice

• Practise Questions

Tutorial Videos

Calculations with mixed numbers and fractions

Calculations with Mixed Numbers and Fractions by MathsMaster.org

multiplication and division of mixed numbers (KristaKingMath)

Multiplication and Division of Mixed Numbers by KristaKingMath

Activities & Resources

• Go Teach Maths
  • Multiplying Bingo
  • Dividing Shootout
  • Multiplying & Dividing Spot the Mistake ppt/ Small PDF/ Standard PDF
  • Multiplying & Dividing 3 Stars
• Multiplying and Dividing Mixed Numbers 10 Questions by mathopolis
• interactive-maths.com
  • Fractions Arithmetic: Individual Questions · 10 Questions · Individual Questions with Countdown · Relay · Bingo
• Pixi Maths
  • Operations with Mixed Numbers ppt
• Transum
  • Mixed Numbers Quiz 3, 4
  • Fractions by Wholes Quiz 3
• Don Steward
  • Multiplying Mixed Numbers

Worksheets

• Andy Lutwyche
  • Codebreaker Word Doc or PDF & Answers Word Doc or PDF
  • Fractions Spiders ppt or PDF
  • Crack the Safe Word Doc or PDF & Answers Word Doc or PDF
  • Show That Word Doc or PDF & Answers Word Doc or PDF
• Access Maths Dividing Fractions and Mixed Numbers GSM Worksheet
• Dr Austin Maths
  • Practice Strips (Word | PDF | Answers)
  • Fill in the Blanks (Word | PDF✦ | Answers✦)
  • Fill in the Blanks (Word | PDF✦ | Answers✦)
  • Crack the Code (Word | PDF | Answers)
• interactive-maths.com Worksheet
• Kuta Software Worksheet
• k5learning.com Worksheets
  • Multiplying proper fractions by mixed numbers 1, 2, 3, 4, 5, 6
  • Multiplying mixed numbers by mixed numbers 1, 2, 3, 4, 5, 6
  • Mixed Multiplying Practice 1, 2, 3, 4, 5, 6
  • Dividing mixed numbers by fractions 1, 2, 3, 4, 5, 6
  • Dividing mixed numbers by mixed numbers 1, 2, 3, 4, 5, 6
  • Dividing fractions and mixed numbers practice 1, 2, 3, 4, 5, 6
• Mathaids.com DIY Worksheets
  • Multiplying Mixed Numbers
  • Dividing Mixed Numbers
  • Dividing Fractions and Whole Numbers
• Maths 4 Everyone
  • Fractions: The Four Rules Topic Review
  • Fractions: The Four Rules GCSE Questions and Solutions
  • Fraction Arithmetic KS2 SATS Questions and Solutions
• Pixi Maths
  • Mixed Number Calculations RAG
  • Mixed Number Calculations Tarsia
• Mr Thompson Maths
  • Multiplying Mixed Numbers worksheet✦
  • Multiplying Mixed Numbers – Missing Digits✦
  • Dividing Mixed Numbers worksheet✦

Dr Frost Video

Multiplying Fractions

Whole Topic Video (From 1:44)

Dividing Fractions

Whole Topic Video (From 3:08)

Key Skill – Multiply mixed numbers.

K179: Multiply Mixed Numbers.

Key Skill – Divide mixed numbers.

K180: Divide Mixed Numbers.

Key Skill – Multiply a mixed number by an integer.

K181: Multiply a Mixed Number by an Integer.

Key Skill – Divide a mixed number by an integer.

K182: Divide a Mixed Number by an Integer.

Download Slides

• Dr Frost Slides (20 Only)

Exam Practice

• Exam Practice (Multiplying)

Extra Questions

• Dr Frost Questions

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 119b: Multiply a mixed number by an integer.
• 121b: Divide a mixed number by an integer.
• 159e: Calculate the reciprocal of a mixed number.
• 167a: Multiply mixed numbers.
• 167b: Combine multiplication of fractions with addition/subtraction.
• 168a: Determine the quantity of a unit fraction within a mixed number.
• 168b: Divide non-mixed numbers, converting the answer to a mixed number.
• 168c: Divide a mixed number by a mixed number.
• 168d: Divide a mixed number by an integer.
• 168e: Divide mixed numbers in context.
• 119: Exam Practice: Multiplying fractions and mixed numbers by an integer
• 121: Exam Practice: Dividing fractions by integers
• 159: Exam Practice: Reciprocals
• 167: Exam Practice: Multiplying fractions involving a mixed number
• 168: Exam Practice: Dividing fractions involving a mixed number

Further Practice

• Practise Questions: Multiplying Fractions · Dividing Fractions

Acute Learning Problem Pairs

• Fractions as PowerPoint or PDF

Activities

• Desmos Lesson Pipe Flow Fractions by Math Dad
• Dan Walker Fractions Maze and Spot the Mistake✦ (TES Account Required)
• Go Teach Maths
  • Unit Fractions & Integers Tarsia ppt/ Small PDF/ Standard PDF
  • Unit Fractions & Integers 3 Stars
  • Unit Fractions Tarsia ppt/ Small PDF/ Standard PDF
  • Unit Fractions Car Race
  • Fractions & Indices Spot the Mistake ppt/ Small PDF/ Standard PDF
  • Fractions & Indices Blockbusters
  • Tarsia ppt/ Small PDF/ Standard PDF
  • Mixed fractions Mixed Arithmetic Bingo
  • Fractions with a Calculator Tarsia ppt/ Small PDF/ Standard PDF
  • Fractions on a Calculator Shootout
  • Fraction Problems
• interactive-maths.com
  • Fractions Arithmetic: Individual Questions · 10 Questions · Individual Questions with Countdown · Relay · Bingo
• MathsBox  (with Score Sheet✦)
• Nathan Day Averages with Fractions✦
• Paddy Moore Y10 Fractions ppt
• Sarah Carter Mixed Operations Fractions Card Sort (Hard)
• Transum
  • Fractions Quiz 9
  • Mixed Numbers Quiz 5
  • Refreshing Revision
• thewessens.net Card Game
• Math = Love (Sarah Carter)
  • Fraction puzzles & games
  • Fraction Review Foldable
  • Fraction Operations Question Stack
• NRICH (student problems)
  • Fractions, Decimals & Percentages (Age 11-16): Problems
  • Fractions, Decimals & Percentages (Age 11-16): Short Problems
• Don Steward
  • Fractions Practice Makes Perfect✦
  • What Fraction?
  • Fractions to percentages (presentation)✦ (by Don Steward; copy hosted by Jo Morgan)
• MathsPad
  • Interactive fraction bar tool✦
• Jo Morgan
  • Fractions extension activities workbook✦ (by Jo Morgan)
• Amie Coley (@alcmaths)
  • Fractions and one✦
• Fraction Talks
  • Fraction talks images✦
• CP3 Maths (cparkinson3)
  • Fractions and their rules lesson✦
• CIMT MEP
  • Fractions (CIMT)✦

Worksheets

• Andy Lutwyche
  • Clumsy Clive Word Doc or PDF & Answers Word Doc or PDF
  • Spot the Mistake Full Notes Word Doc or PDF & Answers Word Doc or PDF
  • Fractions Codebreaker Word Doc or PDF & Answers Word Doc or PDF
  • Mixed Numbers Codebreaker Word Doc or PDF & Answers Word Doc or PDF
  • Game of Cones Season 1 Comparing and Fractions of an Amount ppt, Word Doc or PDF & Answers Word Doc or PDF
  • Woody’s Fraction Roundup ppt, Word Doc or PDF & Answers Word Doc or PDF
  • Fractions Matching
  • Fractions Change One Thing
• Dr Austin Maths
  • Working with Mixed Numbers Practice Strips (Word | PDF | Answers)
  • Proof Practice Strips (Word | PDF | Answers)
  • Problem Solving Practice Strips (Word | PDF | Answers)
  • Revision Practice Grid (Word | PDF | Answers)
• cimt.org Year 9 Mixed Operations with Fractions
• interactive-maths.com Worksheet
• Maths Helper Tricky Worksheet✦
• Pixi Maths
  • Fractions Review Booklet
• Starting Points Maths Fractions Key Skills
• WW Fraction BIDMAS Word Doc & PDF
• Mathshelper (Jon Stone)
  • Fractions✦
• MathedUp
  • Fractions, Decimals & Percentages: Worksheet · Practice · Quiz · Question Gallery
  • Fractions of Amounts & Equivalence: Worksheet · Practice · Quiz · Exam · Question Gallery
  • Fractions: Four Operations: Worksheet · Practice · Quiz · Question Gallery
• Maths Genie
  • Fractions: Booklet · Worksheet · Solutions · Lesson · Topic page
• Mathsaurus (Kevin Olding)
  • Fractions "show that" questions
• MME
  • Fractions Basics (exam style): Questions | Answers  •  Fractions (drill): Questions | Answers
• MadAsMaths (T. Madas)
  • Basic Skills Q1–3 · questions only
• Kathryn Forster (@DIRT_expert)
  • Fractions, decimals and percentages homework✦ (by Kathryn Forster (@DIRT_expert); copy hosted by Jo Morgan)
• tomgale001
  • Mastery Fractions Worksheets✦

Online Platforms

• Khan Academy
  • Multiplying mixed numbers: Videos & practice
  • Dividing mixed numbers: Videos & practice

External

• NCETM
  • NCETM Checkpoints: Arithmetic procedures including fractions (diagnostic tasks)